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      "source": [
        "<a href=\"https://colab.research.google.com/github/sizhky/Modern-Computer-Vision-with-PyTorch/blob/master/Chapter11/simple_auto_encoder_with_different_latent_size.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
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      "source": [
        "!pip install -q torch_snippets\n",
        "from torch_snippets import *\n",
        "from torchvision.datasets import MNIST\n",
        "from torchvision import transforms\n",
        "device = 'cuda' if torch.cuda.is_available() else 'cpu'"
      ],
      "execution_count": null,
      "outputs": [
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            "\u001b[K     |████████████████████████████████| 61kB 4.8MB/s \n",
            "\u001b[K     |████████████████████████████████| 102kB 7.0MB/s \n",
            "\u001b[?25h  Building wheel for contextvars (setup.py) ... \u001b[?25l\u001b[?25hdone\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "CzkNJuKvEP_r"
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      "source": [
        "img_transform = transforms.Compose([\n",
        "    transforms.ToTensor(),\n",
        "    transforms.Normalize([0.5], [0.5]),\n",
        "    transforms.Lambda(lambda x: x.to(device))\n",
        "])"
      ],
      "execution_count": null,
      "outputs": []
    },
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      "source": [
        "trn_ds = MNIST('/content/', transform=img_transform, train=True, download=True)\n",
        "val_ds = MNIST('/content/', transform=img_transform, train=False, download=True)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Downloading http://yann.lecun.com/exdb/mnist/train-images-idx3-ubyte.gz to /content/MNIST/raw/train-images-idx3-ubyte.gz\n"
          ],
          "name": "stdout"
        },
        {
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        },
        {
          "output_type": "stream",
          "text": [
            "Extracting /content/MNIST/raw/train-images-idx3-ubyte.gz to /content/MNIST/raw\n",
            "Downloading http://yann.lecun.com/exdb/mnist/train-labels-idx1-ubyte.gz to /content/MNIST/raw/train-labels-idx1-ubyte.gz\n"
          ],
          "name": "stdout"
        },
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        {
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          "text": [
            "Extracting /content/MNIST/raw/train-labels-idx1-ubyte.gz to /content/MNIST/raw\n",
            "Downloading http://yann.lecun.com/exdb/mnist/t10k-images-idx3-ubyte.gz to /content/MNIST/raw/t10k-images-idx3-ubyte.gz\n"
          ],
          "name": "stdout"
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        },
        {
          "output_type": "stream",
          "text": [
            "Extracting /content/MNIST/raw/t10k-images-idx3-ubyte.gz to /content/MNIST/raw\n",
            "Downloading http://yann.lecun.com/exdb/mnist/t10k-labels-idx1-ubyte.gz to /content/MNIST/raw/t10k-labels-idx1-ubyte.gz\n",
            "\n",
            "\n"
          ],
          "name": "stdout"
        },
        {
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          "data": {
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              "model_id": "dbe666b3ff8f46dcb42a7049948f6ef5",
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        },
        {
          "output_type": "stream",
          "text": [
            "Extracting /content/MNIST/raw/t10k-labels-idx1-ubyte.gz to /content/MNIST/raw\n",
            "Processing...\n",
            "Done!\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "stream",
          "text": [
            "/usr/local/lib/python3.6/dist-packages/torchvision/datasets/mnist.py:480: UserWarning: The given NumPy array is not writeable, and PyTorch does not support non-writeable tensors. This means you can write to the underlying (supposedly non-writeable) NumPy array using the tensor. You may want to copy the array to protect its data or make it writeable before converting it to a tensor. This type of warning will be suppressed for the rest of this program. (Triggered internally at  /pytorch/torch/csrc/utils/tensor_numpy.cpp:141.)\n",
            "  return torch.from_numpy(parsed.astype(m[2], copy=False)).view(*s)\n"
          ],
          "name": "stderr"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "Z9ZneEXSEdQW"
      },
      "source": [
        "batch_size = 256\n",
        "trn_dl = DataLoader(trn_ds, batch_size=batch_size, shuffle=True)\n",
        "val_dl = DataLoader(val_ds, batch_size=batch_size, shuffle=False)"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "gGbeSqd8EfBE"
      },
      "source": [
        "class AutoEncoder(nn.Module):\n",
        "    def __init__(self, latent_dim):\n",
        "        super().__init__()\n",
        "        self.latend_dim = latent_dim\n",
        "        self.encoder = nn.Sequential(\n",
        "            nn.Linear(28 * 28, 128), nn.ReLU(True),\n",
        "            nn.Linear(128, 64), nn.ReLU(True), \n",
        "            #nn.Linear(64, 12),  nn.ReLU(True), \n",
        "            nn.Linear(64, latent_dim))\n",
        "        self.decoder = nn.Sequential(\n",
        "            #nn.Linear(latent_dim, 12), nn.ReLU(True),\n",
        "            nn.Linear(latent_dim, 64), nn.ReLU(True),\n",
        "            nn.Linear(64, 128), nn.ReLU(True), \n",
        "            nn.Linear(128, 28 * 28), nn.Tanh())\n",
        "\n",
        "    def forward(self, x):\n",
        "        x = x.view(len(x), -1)\n",
        "        x = self.encoder(x)\n",
        "        x = self.decoder(x)\n",
        "        x = x.view(len(x), 1, 28, 28)\n",
        "        return x"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "VQH974JoFUc-",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "7c64c7e4-146e-4eae-c21c-edbd232407d1"
      },
      "source": [
        "!pip install torch_summary\n",
        "from torchsummary import summary\n",
        "model = AutoEncoder(3).to(device)\n",
        "summary(model, torch.zeros(2,1,28,28));"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Collecting torch_summary\n",
            "  Downloading https://files.pythonhosted.org/packages/ca/db/93d18c84f73b214acfa4d18051d6f4263eee3e044c408928e8abe941a22c/torch_summary-1.4.5-py3-none-any.whl\n",
            "Installing collected packages: torch-summary\n",
            "Successfully installed torch-summary-1.4.5\n",
            "==========================================================================================\n",
            "Layer (type:depth-idx)                   Output Shape              Param #\n",
            "==========================================================================================\n",
            "├─Sequential: 1-1                        [-1, 3]                   --\n",
            "|    └─Linear: 2-1                       [-1, 128]                 100,480\n",
            "|    └─ReLU: 2-2                         [-1, 128]                 --\n",
            "|    └─Linear: 2-3                       [-1, 64]                  8,256\n",
            "|    └─ReLU: 2-4                         [-1, 64]                  --\n",
            "|    └─Linear: 2-5                       [-1, 3]                   195\n",
            "├─Sequential: 1-2                        [-1, 784]                 --\n",
            "|    └─Linear: 2-6                       [-1, 64]                  256\n",
            "|    └─ReLU: 2-7                         [-1, 64]                  --\n",
            "|    └─Linear: 2-8                       [-1, 128]                 8,320\n",
            "|    └─ReLU: 2-9                         [-1, 128]                 --\n",
            "|    └─Linear: 2-10                      [-1, 784]                 101,136\n",
            "|    └─Tanh: 2-11                        [-1, 784]                 --\n",
            "==========================================================================================\n",
            "Total params: 218,643\n",
            "Trainable params: 218,643\n",
            "Non-trainable params: 0\n",
            "Total mult-adds (M): 0.43\n",
            "==========================================================================================\n",
            "Input size (MB): 0.01\n",
            "Forward/backward pass size (MB): 0.01\n",
            "Params size (MB): 0.83\n",
            "Estimated Total Size (MB): 0.85\n",
            "==========================================================================================\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "leUt0rpzFXnP"
      },
      "source": [
        "def train_batch(input, model, criterion, optimizer):\n",
        "    model.train()\n",
        "    optimizer.zero_grad()\n",
        "    output = model(input)\n",
        "    loss = criterion(output, input)\n",
        "    loss.backward()\n",
        "    optimizer.step()\n",
        "    return loss\n",
        "\n",
        "@torch.no_grad()\n",
        "def validate_batch(input, model, criterion):\n",
        "    model.eval()\n",
        "    output = model(input)\n",
        "    loss = criterion(output, input)\n",
        "    return loss"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "lhJZCl4aFgw9",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 480
        },
        "outputId": "630ed999-a94a-444a-afd6-b22db84d5909"
      },
      "source": [
        "model = AutoEncoder(3).to(device)\n",
        "criterion = nn.MSELoss()\n",
        "optimizer = torch.optim.AdamW(model.parameters(), lr=0.001, weight_decay=1e-5)\n",
        "\n",
        "num_epochs = 5\n",
        "log = Report(num_epochs)\n",
        "\n",
        "for epoch in range(num_epochs):\n",
        "    N = len(trn_dl)\n",
        "    for ix, (data, _) in enumerate(trn_dl):\n",
        "        loss = train_batch(data, model, criterion, optimizer)\n",
        "        log.record(pos=(epoch + (ix+1)/N), trn_loss=loss, end='\\r')\n",
        "\n",
        "    N = len(val_dl)\n",
        "    for ix, (data, _) in enumerate(val_dl):\n",
        "        loss = validate_batch(data, model, criterion)\n",
        "        log.record(pos=(epoch + (ix+1)/N), val_loss=loss, end='\\r')\n",
        "    log.report_avgs(epoch+1)\n",
        "log.plot(log=True)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "EPOCH: 1.000\ttrn_loss: 0.265\tval_loss: 0.194\t(16.61s - 66.43s remaining)\n",
            "EPOCH: 2.000\ttrn_loss: 0.181\tval_loss: 0.171\t(33.04s - 49.56s remaining)\n",
            "EPOCH: 3.000\ttrn_loss: 0.164\tval_loss: 0.157\t(50.00s - 33.33s remaining)\n",
            "EPOCH: 4.000\ttrn_loss: 0.155\tval_loss: 0.153\t(67.50s - 16.87s remaining)\n",
            "EPOCH: 5.000\ttrn_loss: 0.150\tval_loss: 0.148\t(84.35s - 0.00s remaining)\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 576x432 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 383
        },
        "id": "UeXJYtCAg0yt",
        "outputId": "6f33b471-c0ac-4fc7-b0ff-c207efc759aa"
      },
      "source": [
        "for _ in range(3):\r\n",
        "    ix = np.random.randint(len(val_ds))\r\n",
        "    im, _ = val_ds[ix]\r\n",
        "    _im = model(im[None])[0]\r\n",
        "    fig, ax = plt.subplots(1,2,figsize=(3,3)) \r\n",
        "    show(im[0], ax=ax[0], title='input')\r\n",
        "    show(_im[0], ax=ax[1], title='prediction')\r\n",
        "    plt.tight_layout()\r\n",
        "    plt.show()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": "iVBORw0KGgoAAAANSUhEUgAAANAAAAB6CAYAAADOI938AAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjIsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+WH4yJAAAN0UlEQVR4nO2de4xV1RXGv60II6K8Hw4w+EAQiIKGAAraGjFYMrwSUkO1prUNITE1Mah9IC0YTUz/oqmmtbapKQ+BNAGnCAlqRCQN0drwCGhKeM7wlocygLzc/ePe2fPt7T0zd+6eO/fc4fslk6x79z7n7Dln1pzvrLP22sZaCyFEYVxT6gEIUc7IgYSIQA4kRARyICEikAMJEYEcSIgIUu1Axpgdxpjvl3ocouUYY/YZYyZm7d8YY/5a4H5S/Tdgrvb3QMaYtwDUWWtfLPVY2hPGmH0Afm6tfb8F27yFMrsWqb4DiXRgjOlQ6jGkFmttan8A7AMwEcACACsB/APAGQA7AIwO+v0awE4ApwD8HUBFtu0nADYF+7UABgOYDeASgIsA6gH8q9S/cwnO73fOG4DvA6gD8EsARwAsRuaf7a8A7AZwIns9etC+fgxgf7ZtXsO1y7YtALCE+k4A8G8ApwHUZq9RzmsR7KcTgEUADmV/FgHolG1rGPNcAMcAHAbw02Kfw3K6A00FsBxANwA1AF4L2h8HMAnA7QCGAGhWBlhr/wJgKYDfW2u7WGuntOqIy4Ok89YPQA8Ag5D54/4FgOkAvgegEhmHex0AjDHDAfwJGSeqBNATwIBcBzPGDAKwDsAfAfQGMArAljyvxTwA47LbjAQwBv517gegK4D+AH4G4HVjTPcWnY0WUk4OtMlau9ZaewWZ/4gjg/bXrLW11tqTAF4BMKvNR1ieJJ23bwH8zlp7wVp7HsAcAPOstXXW2gvI3FVmZuXdTABrrLUbs23zs9vn4kcA3rfWvm2tvWStPWGt3ZLnWB8H8JK19pi19jiAhcg4bQOXsu2XrLVrkbmTDc1z3wVRTtr2CNnnAFQYYzpYay9nv6ul9v3I/CcUzZN03o5ba7+htkEAVhlj2DGuAOib3cbtx1p71hhzIuF4A5GRgYVQmR1jrvECwAn6ewAyfyddCjxWXpTTHag5BpJdhYxGBoCzADo3NBhj+gXbXd1hyOTzFp6XWgA/sNZ2o58Ka+1BZJ433H6MMZ2RkXG5qEVGLuaiuWtxCBlHzjXektCeHOhpY8wAY0wPZLTyiuz3WwGMMMaMMsZUICM9mKMAbmu7YaaOpPMW8mcAr2SfYWCM6W2MmZZt+yeAamPMBGNMRwAvIflvaymAicaYHxpjOhhjehpjRmXbmrsWbwN4MXvsXgB+C2BJvr9oMWhPDrQMwHoAe5CRCC8DgLX2f8hc0PcB7AKwKdjubwCGG2NOG2NWt91wU0PO85aDPyATvFlvjDkDYDOAsQBgrd0B4Onsvg4jE2Coy7UTa+0BAJORiZadBLAFjc+zzV2LlwH8B8A2ANsB/LeJ8bYJ7eJFaiEv7YTOW2vQnu5AQrQ5ciAhImgXEk6IUqE7kBARyIGEiKDJTARjjPRdG2KtNfn21bVpW5Kuje5AQkQgBxIiAjmQEBHIgYSIQA4kRARyICEikAMJEYEcSIgI5EBCRFBONRFECrjmmsb/uZyInPR9rs9JlGNis+5AQkQgBxIigrKScJ07u+I62LZtm9d26623OnvGjBnOrqmp8fpVVFQ4u7q62tnLli1z9rRp07xt1q1bV+CI04sxfm4kS7AOHTrktAHg2muvdXanTp2a3T7chvudO3fO63flyhVnf/NNY0UtlnZ8zHAbti9dupRXv1h0BxIiAjmQEBGUlYSbP3++s2+7Lbl82NKlS529fft2r+3666939siRjdWBz5496+yDBw9GjbMc4PMA+LKLJRdLXsCXUJWVjUVBq6qqnD1o0CBvmz59+jibpWOvXr28fiy7WMLt2bPH2YcO+XUUT5xoLIB64MABZ4fykPvxcdguJAqoO5AQEciBhIhADiREBE2WtUrDvPtJkyY5e+3atc4Ow7C1tY2LDAwcODDn94Cv6b/66itnz54929kbNmwofMARFLsmwnXXXefs8BmoY8eOzu7WrZuze/b0a8SPGTPG2Q888ICzhw0b5uybbrrJ26ZLl8YFEvi4/FwCAKdOnco57jNnzjh769atXhs/4+7du9fZhw8f9vodPXrU2fy8y/a33yatyKKaCEIUBTmQEBGkMozNt/k5c+Y4m2Xbl19+6W0zYcIEZw8ZMsTZn376qdeP5UVdXc4FBNotN9xwg7M5IwDwZRZndYwfP97rx5/5NQCf11AKHTnSuDYay6xQhnPomaUVf89SM9exGuBQPOCHqDkTIRxDS9EdSIgI5EBCRJBKCceRtzCxs4EXXnjB+8zRtjDyxnz99deRoytfWMaE0VfOCmAJfPvt/mqMHKG7cOGCsz///HNn79q1y9uG21ia3XjjjV4/vjZ8HO7HGQrh/jhad/r0aa/fxYsXnc2yL3YOku5AQkQgBxIiAjmQEBGk4hmoXz9/5fmFCxc6m8OM9fX1zn7vvfeKP7B2Buv9MBOBMzQ4pM02AFy+fNnZnCW9aVPj2s3hZEcOQ588eTLnvgA/U4Kz7Xv06JFznEDyRLlw0hxnXXObnoGEKCFyICEiSIWEe/jhh73Pd911l7P5FvvMM884+2qY9NbasGQKawYwLNs4/Av414PlGMvrMNTMSaNsh/UNWFaynOP9NTVu7hdmKPDvrjC2EClBDiREBCWTcHy7fvbZZxP7cUmplStXFnVM7R2WLmGyJXP8+HFn8/wfwI+IsWTq3r27s8OaCCwDOaE1nDfENRY4E4FlW5j8yVKeZVpYEyEpEyEW3YGEiEAOJEQEJZNwzz33nLPvvfder40lxBNPPOFsThwULacp6cLnnOVOKIU42sYyi+cGheWqRo0alfOYYRSOk0Y5GZSPGSaqchSNI3xh0nCxCtfrDiREBHIgISKQAwkRQcmegaZPn57Y1rt3b2dzGaP169cnbsP6ftGiRc7euXOn12/EiBHO3rFjR36DbSdwHYSm3ujv378/sY0TMTlj4Y477nB2OAkvaXWFMJTOEyG5jbMSwsRjDmPz6h1hzYdioTuQEBHIgYSIoGQSLt+w4oABA5z91FNP5bXNrFmznP3FF194bcOHD3f2q6++6mwOjy5fvjyv45QbLHPDkDZXaeUMgzBszHBNhP79+yfum8PdSaWrAF92caYKZx+EWQ68WgNLf/59ws+csaBkUiFKiBxIiAhKVlw+ad1MwI+mPPnkkzm3nzhxovd58ODBzuZpv1xlM1/CqcZvvPGGs+fNm+fs1i6RVezi8knrmwK+ZLr55pudff/993v9xo4d62xOBm3qPJ8/f97ZXEA+rC6blDTK0iwshcXTyrkK7UcffeT142Lz+RaUZ1RcXogiIAcSIgI5kBARpH6BrUJgnXzPPfck9ps6daqz+U36lClTErfhclozZ8702ri0bCG05QJbYRYALzLMk+OGDh3q9UvKOOCJdrwaA+BnSXNmSPisyc9lnHHArx7uvvvuxG22bNni7MWLF3v9OLsiqbRWU76gZyAhioAcSIgIUlHWqrVhKbVx48bEftzGoXQuqwUAa9ascfYjjzzi7HDliCVLlrR8sEWGw8H8O4YVPlm+8DZhiSrud+zYMWfv3r3b2eHapxxqZikVLpbFY9q3b5+zOYE1TFRluckZDxz6Do/LUja2SqnuQEJEIAcSIoJ2KeEKgd9Ih0upv/nmm85esGCBs8O5/mmXcE0lkyYVlw+XuedsAZbKXFMhTEDleT6cgMoZCsB3E0Ab4BoLYdF4hiVqmLHAmRaFZCIkHjNqayGucuRAQkSQSgnHLyjnzp3r7EcffdTZSbf71iBMtBw9enTOfp999lnRxtBaJEWWwu/5M8s5jmwBfnSL5/awtAtfkLJUa6qwO8vNpIha3759vW34BTAnt4ZrpPJxw4L5MegOJEQEciAhIpADCRFBKp6Bxo0b533mcDC/rWZd3NrPQBzmfP7557226upqZ3MiYlNZDmkhXM0gCX5+YJvf9APJ65Xyc0WYicCJq0nPWoD/7Ml/E4899pizuUYG4P9+GzZscHYY7tYzkBApRA4kRASpkHDhCgD8tpolHFcm5YwAAKipqcm57zAZkmUDzwfi/fGcF8B/4841EcptnVZ+U8/hX8CXNSxnw0yEPn36OJvf9t9yyy3ODqUZJ29yuDtcxeG+++5z9oMPPuhsnpPE+wKAjz/+2Nk8H4ilNgDU1dWhGOgOJEQEciAhIkjllO6HHnrI2R988EHUvt59913v8+TJk52dFKHidVkBX7axTGhtij2lm+VwKIW6du3qbI50sawC/OL8nEzLa59yWTLAl4fcxscMx8dSjzMZwsUCVqxY4WxeLCCU1zwnqZB5P5rSLUQRkAMJEYEcSIgIUvkMxPp82LBhzuYFh2fMmOFtE86Vz4d33nnH2atXr3b2qlWrvH6tXcI3iWI/A3EYO3wG4mcYDlXfeeedXj9eHWH8+PHO5nA3X7Nwf5yVwK8rAL/sLz+zfPLJJ84OF0X78MMPnc0T5fKdrJcvegYSogjIgYSIIJUS7mql2BIu2N77zNkDLOfCbAEOQ7NUq6qqcnYoDysrK3OOob6+3vvMEmzz5s3O3rt3r7PDFR14H0mrOwDfneTXUiThhCgCciAhIpCESxFtKeEKhaNoPOeGpV0on7gfS6lYWZXrWA3Ern2aY3+ScEK0NnIgISKQhEsR5SDhrlYk4YQoAnIgISKQAwkRgRxIiAjkQEJEIAcSIoImw9hCiKbRHUiICORAQkQgBxIiAjmQEBHIgYSIQA4kRAT/B8gL8sDbRB6PAAAAAElFTkSuQmCC\n",
            "text/plain": [
              "<Figure size 216x216 with 2 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": "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\n",
            "text/plain": [
              "<Figure size 216x216 with 2 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": "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\n",
            "text/plain": [
              "<Figure size 216x216 with 2 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "_8owfoLHG0mv",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "outputId": "92ccf1a9-873a-4ab9-c341-6f07bc7d24f8"
      },
      "source": [
        "def train_aec(latent_dim):\n",
        "    model = AutoEncoder(latent_dim).to(device)\n",
        "    criterion = nn.MSELoss()\n",
        "    optimizer = torch.optim.AdamW(model.parameters(), lr=0.001, weight_decay=1e-5)\n",
        "\n",
        "    num_epochs = 5\n",
        "    log = Report(num_epochs)\n",
        "\n",
        "    for epoch in range(num_epochs):\n",
        "        N = len(trn_dl)\n",
        "        for ix, (data, _) in enumerate(trn_dl):\n",
        "            loss = train_batch(data, model, criterion, optimizer)\n",
        "            log.record(pos=(epoch + (ix+1)/N), trn_loss=loss, end='\\r')\n",
        "\n",
        "        N = len(val_dl)\n",
        "        for ix, (data, _) in enumerate(val_dl):\n",
        "            loss = validate_batch(data, model, criterion)\n",
        "            log.record(pos=(epoch + (ix+1)/N), val_loss=loss, end='\\r')\n",
        "        log.report_avgs(epoch+1)\n",
        "    log.plot(log=True)\n",
        "    return model\n",
        "\n",
        "aecs = [train_aec(dim) for dim in [50, 2, 3, 5, 10]]"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "EPOCH: 1.000\ttrn_loss: 0.230\tval_loss: 0.134\t(16.78s - 67.12s remaining)\n",
            "EPOCH: 2.000\ttrn_loss: 0.113\tval_loss: 0.095\t(33.82s - 50.73s remaining)\n",
            "EPOCH: 3.000\ttrn_loss: 0.089\tval_loss: 0.081\t(50.78s - 33.85s remaining)\n",
            "EPOCH: 4.000\ttrn_loss: 0.077\tval_loss: 0.071\t(67.58s - 16.89s remaining)\n",
            "EPOCH: 5.000\ttrn_loss: 0.070\tval_loss: 0.066\t(84.37s - 0.00s remaining)\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 576x432 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "stream",
          "text": [
            "EPOCH: 1.000\ttrn_loss: 0.257\tval_loss: 0.206\t(17.51s - 70.05s remaining)\n",
            "EPOCH: 2.000\ttrn_loss: 0.197\tval_loss: 0.190\t(34.79s - 52.18s remaining)\n",
            "EPOCH: 3.000\ttrn_loss: 0.186\tval_loss: 0.182\t(52.41s - 34.94s remaining)\n",
            "EPOCH: 4.000\ttrn_loss: 0.180\tval_loss: 0.178\t(69.60s - 17.40s remaining)\n",
            "EPOCH: 5.000\ttrn_loss: 0.176\tval_loss: 0.174\t(86.33s - 0.00s remaining)\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 576x432 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "stream",
          "text": [
            "EPOCH: 1.000\ttrn_loss: 0.258\tval_loss: 0.195\t(16.43s - 65.74s remaining)\n",
            "EPOCH: 2.000\ttrn_loss: 0.181\tval_loss: 0.170\t(33.44s - 50.16s remaining)\n",
            "EPOCH: 3.000\ttrn_loss: 0.164\tval_loss: 0.159\t(50.44s - 33.63s remaining)\n",
            "EPOCH: 4.000\ttrn_loss: 0.156\tval_loss: 0.153\t(67.33s - 16.83s remaining)\n",
            "EPOCH: 5.000\ttrn_loss: 0.151\tval_loss: 0.149\t(84.36s - 0.00s remaining)\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 576x432 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "stream",
          "text": [
            "EPOCH: 1.000\ttrn_loss: 0.248\tval_loss: 0.167\t(17.22s - 68.86s remaining)\n",
            "EPOCH: 2.000\ttrn_loss: 0.151\tval_loss: 0.140\t(34.76s - 52.15s remaining)\n",
            "EPOCH: 3.000\ttrn_loss: 0.134\tval_loss: 0.128\t(50.99s - 33.99s remaining)\n",
            "EPOCH: 4.000\ttrn_loss: 0.126\tval_loss: 0.123\t(67.91s - 16.98s remaining)\n",
            "EPOCH: 5.000\ttrn_loss: 0.121\tval_loss: 0.119\t(85.34s - 0.00s remaining)\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 576x432 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "stream",
          "text": [
            "EPOCH: 1.000\ttrn_loss: 0.240\tval_loss: 0.146\t(17.07s - 68.27s remaining)\n",
            "EPOCH: 2.000\ttrn_loss: 0.128\tval_loss: 0.113\t(34.19s - 51.28s remaining)\n",
            "EPOCH: 3.000\ttrn_loss: 0.109\tval_loss: 0.103\t(51.37s - 34.24s remaining)\n",
            "EPOCH: 4.000\ttrn_loss: 0.101\tval_loss: 0.095\t(68.20s - 17.05s remaining)\n",
            "EPOCH: 5.000\ttrn_loss: 0.095\tval_loss: 0.091\t(85.43s - 0.00s remaining)\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 576x432 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "LBum0Y3AG4cK",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "outputId": "c84d4c2d-7f9e-43a7-c5d4-23fda47a9cb4"
      },
      "source": [
        "for _ in range(10):\n",
        "    ix = np.random.randint(len(val_ds))\n",
        "    im, _ = val_ds[ix]\n",
        "    fig, ax = plt.subplots(1, len(aecs)+1, figsize=(10,4))\n",
        "    ax = iter(ax.flat)\n",
        "    show(im[0], ax=next(ax), title='input')\n",
        "    for model in aecs:\n",
        "        _im = model(im[None])[0]\n",
        "        show(_im[0], ax=next(ax), title=f'prediction\\nlatent-dim:{model.latend_dim}')\n",
        "    plt.tight_layout()\n",
        "    plt.show()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 720x288 with 6 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 720x288 with 6 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 720x288 with 6 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 720x288 with 6 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 720x288 with 6 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 720x288 with 6 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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lStLjjz+exH7fy/Y5NPXmoM7z761/rN9+89cBzJ07N2nL76Olt37X+9ryouWVI8cAAABAxOAYAAAAiBgcAwAAAFFb1Bxj5Pi5Dr1aNcdD9frrr1ddV34+Rknq7u5O4vXr1yexr1PF8OXr13yefc2ir3XbunVrEj/77LOVZV+TOGXKlCTu7+9PYl83R83xyKn33vpc7Nixo+q6tm/fnsR+m/WfIeYmb5x6dat+P+/ns87PNe7nNfa15BMnTkxiX9+MofHb3FD2b/471cf56z38vQNmz56dxPk5zCVp7969x9yPVsSnEgAAAIgYHAMAAAARg2MAAAAgouYYwzKadX+15mj0tc0+9nOk+toqDF2tWkFfH+rz4WsaDx8+nMT5mkZfy7Zz584k9nNr16pNx9DVqiWvN2+qb8/XLebnn5ekCRMmJPG0adOS2OfZ1zNjaIayXfjH+nmOfS7z/HzW/noPts/W4ffDHR0dleXOzs6qbYPFRf+O5cgxAAAAEDE4BgAAAKK2K6vwp/38qeFat15Ec/lT9fnp2vz0Xn7qoaeeeiqJ/Wl+1Fdvuqd86Uq997demUV+miB/Ot1PI7Vu3bokrje9IIZmOKff/a2/p0+fPuiy9Na8MXXb6PF582VoPhf+9Hs+Nz5P/rG+zILbgjdPvSk38yVtU6dOTdr8frls5TEcOQYAAAAiBscAAABAxOAYAAAAiNquOM/XxTTy9sYYnnr13r7G6ayzzqr62N27dyexrzkmz0NXry5xOPw0QPnpnmrVrUr165fJdfP4GsZly5ZVlv10YH7qp+eeey6JqTkePX6b8bnx235+mi9fm1qvxpjrP1qHz0X+miy/vfrPiN9ei77f5cgxAAAAEDE4BgAAACIGxwAAAEDUFjXH8+fPr9q2adOmJP7CF74w0t3BMfK1o772dMaMGZVlf2vLWrc2HmzdaC6fr1mzZlWWe3t7kza/zW7bti2JG3nbUt8v6iOHptY27OuR/e2g/W3CqTluXbt27aos+9pUP3+1317Zppqn3u3g/ZzyeX57XLlyZeM61gI4cgwAAABEDI4BAACAiMExAAAAELVFzfHVV19dtc3PwfjSSy+NdHdQRb06YV/jdPjw4arP9XNp1ruHfCPn7MXQ+Xzka47r1f36dl+7OhzUQw6Pv05g7ty5lWX/3vp9cX9//8h1DENSbxucPXt2Zdlf/+Frx7dv357ERZ8Pt8j8NQG+XnzatGmVZZ8nv72uW7euwb1rLo4cAwAAABGDYwAAACBicAwAAABEbVFzXMvixYuTuNa8fhhZvv5p7NixNePp06dXln3Nqq+R27dvXxJTS9pa/HY3ZcqUynK+tlyS1q9fn8R9fX1JTP146/DbYX4b9/NR5+fKld66zaJ1+O116dKllWU/r7G/BqDe3LoYPX779HE+lz5PGzZsSGJfS150HDkGAAAAIgbHAAAAQNR2ZRX+1H296cMwenxufKlEvoxCknp6eqo+18eUVbQ2XzrR3d1d9bEvv/xyEjPlV+vypVB79uypLPvT76+++moSN3JKPgyPP6V+8ODBJO7o6Djmde3evbshfcLQ1fue9N+5fr+c58vbfJlU0TEyBAAAACIGxwAAAEDE4BgAAACI2q7m2NdOUXvaOnzNkq9/8rVqBw4cqCz72qg1a9Yk8caNG5OYvLeWWrcx9bmqN1UUmsfn0Zs/f37Vx/op+HzduZ86CqPHb4N+39zV1VX1uT6vtepYMbL8+MdfczVhwoQkHkotedmu3yrX/wYAAAAYBgbHAAAAQMTgGAAAAIjaruYYxeFr0/I1xlI6Z6p/7P79+5N47969De4dGsnXl+ZvH+3rG5988skk7uzsTOL85wKjq15N46RJk6o+12+zft5jtA5f95+/nfSRI0eSNj8nso/RPD5Xft950kknVX2s3+8yzzEAAABQUgyOAQAAgIjBMQAAABC1fc3xD37wgyTesWNHk3oCz9cveosWLaos52ujJGnixIlJ7OfC9XOs1nstNJZ//88777wknjZtWmXZz5Pa09OTxOSudU2dOjWJ87nyedu2bVsS+3nN0Ty+dtxvv/n9q7++Y+fOnVUfi+by26Cf5/jcc8+t2jZz5swkLtv2ypFjAAAAIGJwDAAAAEQMjgEAAICo7WuO165dm8TMwdi6pk+fnsT5uTZ97ZSve/P3iC9bfVTR+BrGhQsXJnF+buOjR48mbc8///zIdQzD4ue/XbJkSRLnrw3wteS9vb1JXLZ5U4vM71/9/nTOnDmV5a6urqTt0KFDSeznpEfrqHXtjv8MbN26NYnHjh2bxH5e5KLhyDEAAAAQMTgGAAAAIgbHAAAAQFTKmuNZs2Yl8amnnlpZ9vMznn322Uns5/Lbt29fg3uH45WvQ5Vq1y/6uTR9/SJz4zaXz+WWLVuSOD/nra9j9TWMfptG8/i6wylTpiRxPpe+9nTVqlVJ7LdptI7Ozs4kHjduXNXH+nmOfV6Zc7556l37kb/ew1/74a/P8u1Fx5FjAAAAIGJwDAAAAESlLKuYN29eEi9durSy7E/ZnH/++Uk8efLkJKasonUsXrw4iSdNmlRZ9qfp/e2jfftwTuVxGnD4fD62b9+exJs2baosd3d3J20LFixIYn9qEM3jy5fGjx+fxPn9qS+P8SVtZTtNW2R+nzd79uwkzk/t5ssm/Pbpy6TQPP67y5c65XPlp2bzYyNfUlX024TzrQIAAABEDI4BAACAiMExAAAAELV98c8999yTxL72Ec3j69z8LaHzdau+dsrfBtPXPg4HNcZD5+sOfezrT/PTP/X39ydtPpfUHLcOXyf8wgsvJHH+tu3+FsR79uxJ4rLVMJaJ3zfna1X99QQ7duxIYqbVbB0+j76OOL/N+VpyP32fv85n//79SVy0PPOtAgAAAEQMjgEAAICIwTEAAAAQtX3N8ebNm5PYz/OH5vG1azNmzEji/C2G/WP9nIx+/mrmKh5d/v31tam+5jhf++Zz5efD5TbDrStfYyxJL774YmX59NNPT9qoRS0Ov3/Nb8/cFrw46l0LsmXLlspyV1dX0uZryX27X5ff57f69s2RYwAAACBicAwAAABEDI4BAACAqJQ1x+vWrUvip59+urK8bNmy0e4OjpOvUVq7dm0SP/XUU5Xlzs7OpO2RRx5JYj9/davXO5Wdry/1tal5Pu/PP/98EjPPcevauHFj1djXKPr9tt/+0Tw+F/laVEl65ZVXKst+vls/fzV5bR0+F36e43yee3t7kzZfc+zz7L9ji/ady7cKAAAAEDE4BgAAACIGxwAAAEBktepAzKxYRSJtLIRg9R+VKWpe/b3clyxZUlnu6elJ2vL1yJK0c+fOJC7KXJtDyatU3NzWqhueNGlSEvu6OD/nalGUcZv1c1L7ePz48ZVlP1+1r2H0delFUca8en5ffOaZZ1aW/b74iSeeSGJ/fUFRalHLmFd/f4CpU6cm8dKlSyvL/nqtH//4x0m8evXqJC5KbXm1vHLkGAAAAIgYHAMAAAARg2MAAAAgoua4JMpYD+X5+sWhKEpdm9cuNcftqB222XbUDnn1++L8NQO+rajXBHjtmNd8bXm9awCKch2PR80xAAAAUAeDYwAAACAq5e2jUU5FLY0AgDLLT9vFfrq4fO4OHTrUpJ40H0eOAQAAgIjBMQAAABAxOAYAAAAiao4BAMAxo64YZceRYwAAACBicAwAAABEDI4BAACAqObtowEAAIB2wpFjAAAAIGJwDAAAAEQMjgEAAICIwTEAAAAQMTgGAAAAIgbHAAAAQPT/deHeRhE7IQoAAAAASUVORK5CYII=\n",
            "text/plain": [
              "<Figure size 720x288 with 6 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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cmbX5OVd9jSPXCYxNvXnlfR49P3e4n5s4zZ2vOfbzWfv3Yvscm0a5S/ltyM9f7XOV5tV/h/r9rn9u2bdXjhwDAAAAEYNjAAAAIGJwDAAAAESVrDnG+PFzWPq6Nl+nlNaX+ba0hliStm7dmsVPPPFEFl966aW1ZT+3ta+l8q+NsfO5Tuet9nWEs2bNqhv7evLBwcHa8pw5c7K2FStW1O2Xr8FjbvPm8evWfwZ8HXE6X7UkXXjhhbXlk046KWtbs2ZNFvvPRKM51TE66Xbh16WP/fZc71oTX4u6ZMmSuv0gr2Pj928pv269vr6+LPa15Gnsv2M3bNiQxXv37q37XmXDkWMAAAAgYnAMAAAARAyOAQAAgKiSNcf33HNPFl977bW15Xnz5o13dyrF1zAdPHgwi30dcb36sUa1Zb7ObceOHYeNFy5cmLX5+75PmjSp7nu1UlVq6vz/w9d1p44//vgs9p8Tr7+/P4vT+uUZM2Zkbb5+3Ncv+7rYsq7vTlGvltyv2/Sx0mvnPU/rxX1eTzvttCz27X7+auYuH516dcX15kCWXruufXuaZ/8+fo5kts/28fXJvk74wQcfzOLe3t7asp93vOrX8XDkGAAAAIgYHAMAAABRJcsq/JRA6Sn2RlMRYWyaeYrMnwLyp3HSW0bPnTs3a1u2bFkWj+YWm83m10l6erhMt071p8zrnXr1U3r5U6v+9t6+DCM93edvK+6nD/TlNo22cU7jjs5oyhf859nf1j0tb/LlMCeffHIWz58/P4ufeeaZI+4Hxsbn0cd+X5DGvq1R6R1ax+/rGk1z6eM0l76M7uyzz6772mX6bhsJR44BAACAiMExAAAAEDE4BgAAAKJK1hx7aR0Nt5Idm/FcX752zdckprcl9XWle/bsyeJWTjvj++lr6vwUVPVu99nJ/P9rNNP2eb4ebdq0aVm8fv362nKjKb78bU19DTLb+PhpdA1HOuVioxp2X5de9hrGTjbaaTX9Piy95sPfPtpPo0keO5ffBtO8+v2svybAXwvSaPrOTseRYwAAACBicAwAAABEDI4BAACAqCtqjlEOvjbXz4Oa1hhL+e0sfc3qggULstjXNzZz7ttGNcRVqbFrZe3uiy++mMVp7v0c1n6+zQMHDmRxM9e3v/2xn68ZuUbbcLo+/TborwvwNe1V2Y7KoNG27ve3ae58Xv02NDQ0NKr3QvP4de2/u3zN8eLFi2vL/jvU3066ajhyDAAAAEQMjgEAAICIwTEAAAAQUXOMjuFr1XzN4dq1a7M4rV3ztY2+NtTPtdlMZZ23uJ18baqflzqtafSP9Xxu/edmLKgxHh1fF7x3794sTrdxv90MDg5msa8lR/v4fbOfS7zeNrpt27Ys3r9/f/M6hlHxefR1xHPmzMnidBv1z/V59fMclx1HjgEAAICIwTEAAAAQMTgGAAAAImqO0TF8TZOfc3Hnzp1ZvGvXrtry0qVLs7aq1T9VnZ8LNa1d9fXIvmaxlfMcY2zSbVSSBgYGasu+Vnzfvn1Z3MzacYyO3xf72NeL+7nHU75un31z5/DboN9eU36/6vfZPi47jhwDAAAAEYNjAAAAIOqKsor09Lw/Ve9PF6F9Gk0D5U+vHzx4sLbs87pw4cIs9lPWoL38aVl/S9m0dMJ/LvxpWX/bYbSPz5Wf8mvr1q215fTWtNJry2MaTeGH1ml0m+Ht27dncXr79+XLl2dt/tQ9++L28d+TPs9+X7pp06ba8uzZs7O23bt3Z7HPs3+vsk15ypFjAAAAIGJwDAAAAEQMjgEAAICoK4p/0loXX/fia27QPr5e0U/l5OtSN2/eXFs+++yzszZf6+jzTN7by69/n9t02j4/RVBPT08WM3Vb50qvC5DyXPoaxeOOOy6LFy1alMXr169vcu9wpHwefX14f39/bdlvjzNnzsxiX4uK8dPoO9Zf55NOvejzNm3atCb3rrPwKQUAAAAiBscAAABAxOAYAAAAiLqi5hjl5OuhfJzWQPmauClTpmSxnzPVz29NDXJ7+fzMmDGjtuxr2/zto31NIzqHvyV0qlENo88r22z7NLpmI53z1ufc52369Ol128lr6/h162vH/bU669atqy2vXLkya5s3b14W+7yWHUeOAQAAgIjBMQAAABAxOAYAAACirq85vvzyy7P4lltuyeLHHntsPLuDOiZOnJjF6Tyovt7pxBNPzGJ/X/i+vr4sZq7c9vJz2qZz3vqaRD8f7ksvvdS6jmFMfC15ei2Arzn21xTMnz+/7mv5x6N1/Dbo95eDg4O1ZX/9h89Tej3BSK9NzfH4aVRLvmLFitry1KlTs7YlS5Zksf9+LnseOXIMAAAARAyOAQAAgIjBMQAAABB1fc2xr1WdPHlym3oCz9eizZkzJ4t37txZW240J/LJJ5+cxU899VQWU3PcXr6OOJ3z1n8OBgYGxqVPGL1G9eGTJk2qLR86dChrO+GEE7LY1zD6x2P8+PpRX/+d1p/6OeZ9rapv97Xn5Hn8+O3VzzW+YMGCwz7Wj52WL1+exf47tmw4cgwAAABEDI4BAACAiMExAAAAEHVFzXFa0+Trm3zs62rQPr72bGhoKIv37dtXW25Uc+zro8o+B2PZ+e0snSdVkh599NHacm9vb9Y2YUK+2+rp6cniZ599tgk9xNHwefVzUKfXdPjt28cHDhxocu8wHnweG13XM3PmzCz2+wJqkMePz8WOHTtqy/66HD92Wrx4cRaXff5qjhwDAAAAEYNjAAAAIOqKsor0tEyjUzRlO/RfZT4XvqwinRbKTy3kp5CqN6WU9NpTRnwOWsufcvO5Tadr87ej9bef9VOAoX38/tWXNz333HO15YULF2Zt/nS7fy2m/Oocfpq9NHc+5/5U/XnnnZfFGzZsyGJfVoHW8d97fprM9HvVfyf671C/X/bfyWXbXjlyDAAAAEQMjgEAAICIwTEAAAAQdUXN8WhcdtllWfzQQw+1qSfwNU779+/P4vRWl76+yde0prc3HandS9upP24+v/59XfHu3btry+l0QtJra93OOOOMJvcOzeK32a1bt9aW/XblaxLf9KY3ZfHdd9+dxb62Fa3jc+Wn6Evrhn1Nsa8lnz9/fhb7qd787aXTKTvRWn573b59e23Z1yd7fio3n0e/vXb69ypHjgEAAICIwTEAAAAQMTgGAAAAImqOnVNOOaXdXUDk61J9DdPatWtry74+0dfENapJ9jq9Hqrs/Pr18c6dO2vLvlbNz1n9ute9rsm9Q7P47ezpp5+uLb/jHe+o+9i03lGSpk6dmsXcXrp9/Lp/4YUXasuN5rdtNOc82sfva9PvWF+P7PPq57P2efa1441qmNuNI8cAAABAxOAYAAAAiBgcAwAAAFFX1Bx/9atfrS2vWrUqa1u9enUWX3PNNePRJRwFX0e8adOm2nJ/f3/W1tfXl8VPPvlkFr/88stZTI3x+PLre8KEfFeU1i2mc+NKUk9PTxYPDAw0uXdoFl/D+POf/3zEZUmaOHFiFm/ZsiWLme+2c/i8Pvjgg7Xl3t7erM3Pf/vII49ksd93k+f28XXAu3btqi1v3rw5a/P77PXr12exr0vv9BpjjyPHAAAAQMTgGAAAAIgYHAMAAACR1au1NDMKMUsihFB/4t5EWfN6zDH533KLFi0acVmSXnzxxSzetm1bFh88eDCLO7XmeDR5lcqbWz/X6bRp02rL5557bta2d+/eLH788cdb17EWquI26+cqrjdX+dy5c7O23bt3Z3HZ5kUdVsW8NpLWiy9YsCBr8/vawcHBLPbXf3Sqbsirn6M6nbt45cqVWZvfPn0t+dDQUBaX7TuWI8cAAABAxOAYAAAAiBgcAwAAABE1xxXRDfVQXlrP6OuR/efa3we+LLql5thL89loTmRf01gW3bjNdoNuz6uvW+3GfXFV8trN+2GOHAMAAAARg2MAAAAgoqyiIrrxlE836Nayim7ANltN5LWayGs1UVYBAAAANMDgGAAAAIgYHAMAAAARg2MAAAAgYnAMAAAARAyOAQAAgIjBMQAAABDVnecYAAAA6CYcOQYAAAAiBscAAABAxOAYAAAAiBgcAwAAABGDYwAAACBicAwAAABE/w8nOVGazhGN6wAAAABJRU5ErkJggg==\n",
            "text/plain": [
              "<Figure size 720x288 with 6 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 720x288 with 6 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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wuYcOHerqv/3tb65Wxql0OB+16667uvrzn/+8qwcMGJCf5gzc448/7mrOsXG2lDOJaZaNs4/qfZtTqHcxjwfnhtNMMQAcdthhrt5vv/3y07x/c99j7sHK1wlw9m3JkiX5ac7YzZgxw9Wvvvqqq3nsW0PmOD3G8e/L+VEe906dOrk6Pd4OHDjQzUt7WwPAqlWrXL1y5cqCr50+nn+We11zXnnz5s2ursfjeqFrBPgaAF63fCzmcU730W7durl5u+++u6t5Pudeef9dsGBBfppzrsuXL3c1Z5L5uN7a8L7Mx9KePXu6+ktf+pKr99xzz/z03nvv7eZxb+yuXbu6et26da6+5557XP3kk0/mp3nfzromoCXok2MRERERkUgnxyIiIiIikU6ORUREREQiK5SXNLOqCFNytmXQoEGuvvfee13N2bVSuv32212d9kF9/vnn3bwNGza4+plnnnE1Z3KaI4RQuKFholrGlbNmxx9/vKvHjh3ras4oprlBzpbxWHD2cfXq1a7u3r27q9Ps6T//+U8379FHH3U15xnT3pBA83qoFjOuQMuOLecSd9ppp/w09y0+/fTTXc2ZY84kp7nE9HmBhusvK4vK0hwe55F5H33sscdcPWvWLFdzVrUY1bLPci6Rj7dpzeuWx+3ggw929aGHHurqQw45JD/N+UfOjnNGlvdZzj+n+91LL73k5j377LOu5n2aj8U8ruXaZ8s5rjyOPHbpuHOOP71OB2jYk5rHOc2j8uvydT183OfrQXh/To/tixYtcvM4g/zcc8+5mjPIXBejWsa1kddydbr+OVN81llnuZrf93h/TceKs+K8T3A/a+57zD2p0/fo+++/382bOnWqq3kb4Vw6X0NQjKbGVZ8ci4iIiIhEOjkWEREREYl0ciwiIiIiElVt5jjNzXCv4SeeeKKo53rjjTfy0xMnTnTzli5d6ur+/fu7+rvf/a6rOf9YjDlz5riae7tyD9Vi1EoeKs0oXnrppW7eBRdc4Op27dq5mrfVNO/NmaQ1a9a4mvtyckaZM8lp1uqDDz5w81asWOFqzqVOmDDB1ZxJ5uxVIZXMHPPYcSZ0t912c3WaMz7jjDPcvJNPPrngc3FOMR1rzoMuXrzY1ZxR3GOPPVzNecn09+LfgffvO++809V33HGHqzm7Woxq2Wc5i8pjk+ZRDzzwQDfv8MMPd3WaKQYaHuPSnDAf7zirz72KOWfIY5fu0/yzfHzgDPK0adNczX3Q+bULqdS4FsqeAg3HOV1/n/vc59y83r17u7pQxhjw+ygfWzlbzj2TeXvjLHmaE+b9c/369a5++OGHXc397pctW4btVS37K+N1su++++anx4wZ4+bx/shjw9fHpNsMZ4p53PjaBc4cs3Sf5GM6Xwty5ZVXunru3LkFH1/MuZQyxyIiIiIiGXRyLCIiIiISVc3to/kroEsuuSQ/ffnllxf8WW7jwe1c0vYl/HVblhNOOMHV3EauGJ/5zGdczbdqvPvuu7f7uasFjyO3BLrmmmvy07xu+WsZ/notve0v4GMqM2fOdPP4axr+yvaggw5yNX9tOGzYsPw0f33LNX81xcs5ZcoUVxcTq6gk/pqW4wnpLZ4BYOTIkfnpUaNGuXn8FRt/7ZVGnwB/y1i+RSx/Rc7tmfjrv4ULF7o6Hb8hQ4a4eQcccICr+ffg7Srr6/tqlPX1O98G9ogjjshP8y3cuSUftwTjW6+n2z4ftzmuxO3YOGbFy52OK3+1z3EPjoPwuP3lL39xdTGxikrJ+lq7X79+rk7H9aSTTnLz+JjGt4DmfTI9vnLLPY45ceSNl7NQ7IKPvdwW7rjjjnM1t3rj/bU5UcZK4e2+V69erh43blx++uijj3bzuPUijyOvr/S4zPENPs5yxIzHit9j0+gO/w4cczzvvPNcfdVVV7m6OS36mqJPjkVEREREIp0ci4iIiIhEOjkWEREREYkqljnmTNPkyZNdfcoppzT5s5xV43Ylv/rVr5q5dJ+YNGmSq8855xxX/+Mf/8hP8zJz5oZxfq8WM8ecc+OM8c033+zqNOvLmWK+ZStnda+//npXp3morEwgt52ZPn26qzk7WSiXylkrzuJ+8YtfdPVTTz3l6ldeeaXgslYLzgpyLoxzmyNGjGjyuThnzeuAWzCl2TfOj2a1HuNsatryD/C3s+X8Ht9ulXNyaU4TAJ588klX10LmmNcf3xaWc5snnnhifpq3dV7XnB3n1llpW0N+LGcW09w50DArXei2xHxc4nagffr0cfU3v/lNV8+ePdvV3CqqGvD64Ewo56z5epmvfe1r+Wne7jk3zMdX3n9fffXV/DS3XmR8rQK3zeMccPqewtcE9O3b19XHHnusq9NbFAMNc+zNuf17qWRda8O5ar7l809/+lNXp235OCvO43rTTTe5mrf79DoAzvVm3cKZ26dy+78rrrgiP83vv5w75+z04MGDXc3HilLQJ8ciIiIiIpFOjkVEREREIp0ci4iIiIhELZY55l6G3//+911dLRljdu211xasU7/85S9dffHFFxd8bu7lV4s4V3T22We7mvNl6VhyX9Pvfe97rn766addzb2K01sMc/6O8W0xOQPLt5NNs5XcuzW9TTLQMIPMWXPOVtYKvoUs9+nmPtXp9szZW+41fOONN7qas4ApHnfOCfOxhXvrciY5zTDzbUj59sickzvqqKNczWPN23Q14us9OL/31a9+1dVp9pxvhb506VJXc49vXh9pvpR7CXPWlG/bvueee7qa3xfSfZoztH/9619dPWDAAFdzfpmzrM25TXi5pMc/oOH64Zw1H5vTLOvrr7/u5vG4ptfWAA33mzRbzvsfZ9q5l27WPpMeh/g8gXPWfIzixz/yyCOurobrPzhjzO9lfAwaPXq0q9P+8oDPGfN2e/XVV7v60UcfdTVn69Nl4+0t6z2X32M5o5xer8HnCektsIGGxwa+LoJ/jw0bNhRctm2hT45FRERERCKdHIuIiIiIRDo5FhERERGJWixzzPfGHj9+fMHHpxmnH/zgB24e942tFtddd52rzz33XFd37NjR1WlvyFrBOSPuTzhq1ChXc/Z03rx5+enf/OY3bt4TTzzhas4ccuapmOXkn83KIP/973/PT8+aNcvN496R/NzcH5jzj6XIQ5UD5/c4w8jZtv79+7t65cqV+WnOLHI/zeeee87VPB5pLpiXi/se888y3gbTDDL34c16bs7Y8z5dCzhvyxljzv+lmXnOJD7wwAOu5uwqr9+0By6vO86q8n6Vbl9Aw6xmul9yLv3FF190NR+b+ToC3tb//Oc/o9px33zO2/Jxa9WqVflp3h85w8m5f76OIs2ic1/eRYsWuZqzpzyObPHixfnpmTNnunnch5yP41nXTbz22mvbvBwthbd77q3+hS98wdV8DUG6j917771u3oMPPuhqPjYWsw6KeT8GGo7NjBkz8tN8/wg+7nbp0sXVfAzjaz+UORYRERERKSGdHIuIiIiIRDo5FhERERGJypY55vuFjxgxouDjOes3bty4/HS1ZoxZsRnZyZMnl3NxyqJdu3au5nvZc79Qvpf73XffnZ/mPsbcy5Bxjjjtb8u9bvm5srJUvP2lmVnu6cl5J14nvL326dPH1XPmzCm4LJXCvwf/npxF5XWW1pxhTLPmQMP8WaHccKH+1tuCt5s0j5b23QUargNerp133tnVnHWrRtznuV+/fq4eNmyYqzlXnfYj5T6xvA9v3LjR1bzfpe8LnFvl9wzep3l74+NtOlacOeY8M29/PK6ch063oWK3v3Lp1auXq4cMGeLq7t27F/z5dFxvvfVWN48zm5xN5fWXrh/eX1nW+uP9Nb3mgLcJ3lZ5nLN6Z6fbCW9flcLb7plnnulqfo/l/WbatGn56YkTJ7p5PDaVzFmn++v8+fPdPL7ehbcZ7pWdtc1tD31yLCIiIiIS6eRYRERERCQqW6ziqquucjW3C2LPP/+8q//4xz+WfJnKjVvOcYsVxm2PagF/3ci3EOavtfi2wI8//nh+utivywvN56/iiv26iJ87vTVt2koIaBgZ4NeaPXu2q6s1RsG4BR1/Tcvtrvir1fRWpelXe4BvLwQUH3spl2K+dgWy28ZVIz4OnX/++a7maMjmzZtdnR6bedvnWAqvn0L7ZVaMgufzc/P8dB/mccu6pTvfIp7bxlWjgQMHupr3Vz5W81ilbdE4/sbt1ni/YOk487rP+llWaOz4tsJ83OBoBL8fsawoXyV85StfcfXhhx/uat6WOcqU3iqd4zGVjFFwvCttC8nvJQsWLHA17+s8buU4LuuTYxERERGRSCfHIiIiIiKRTo5FRERERKKyZY7Hjh3ras50btq0ydWnnXZauRalxZx11lkF5y9cuNDV1dISqBjc6iqr/Q23aElzRs3NP5UyZ8SZJm6TlOLbSfPtUtPsLQCsWbOmmUvXMnhs999/f1fz78nZ1PSW7+vXr3fzmnMr8Obi3Gvatovb02W1EOI6vW1utdprr71czdlxHnfevtOsKv++xY5rup8VGpfG8PGCX2vXXXfNTx9yyCFuHt9yl/d3zthyJrkaj9XcapFbt/H65Wsh0haV6TUWQPa48vpL66zcedZzcUZ+8ODB+WnOHPO2y8vN5xl8+/NqHFdu1Za1/vg9+IUXXshP8/pozntu1nIwvoaAr2kZNGhQfpr3fc4g83NxG1zef0tBnxyLiIiIiEQ6ORYRERERiXRyLCIiIiISlS1znIX71HHGq1pxFvWWW27JT3OvTM4YH3fcca6uxh6LWTgP1qFDB1dzDpUzX2nmqdgMUyGcc+Pn4tfinos8rhdeeGF+unfv3m4e93rlceb+1ZyfqlacTeWMGK8z7pu6YsWK/DSPO2/r5cz6cYaRs9J77713fvqkk05y8ziPy31S01vuArXRD7dr166u3n333V1d6Ha9APDKK6/kp4vtWcsK9TnmbYK3P97H04wx4Pv88vUf/DtzTpNvb57mNqsVH4t5O+dxTDPGgD9WZ2WMeRspVGf1r+Y+xn379nX1QQcd5Oqjjz46P81jzr/jsmXLCtbpdRFAdWaO+VoPzlXzsZRv7Z2Oa3N/v0LjytsAj/OBBx7o6mOOOcbVaf9mfuyiRYtczfdLWLVqlaube1xqjD45FhERERGJdHIsIiIiIhLp5FhEREREJKpY5pj72nHOhnvFVsoJJ5zg6quvvtrVn/70p5v82alTp7p68eLFJVuuSuFx4nHkTBhnT9Ps37p169y8YnNDnIFKdezY0dWcX/z2t7/t6lNPPdXVab9bzlFPmzbN1ZyX5yxuJe9nXwzOYXI2kPH8dJ1zTq6c2T7OXu62226u5hzxUUcdlZ8+7LDD3DzOza1evdrVd911l6t526hG7du3dzVn4Hmf3bBhg6vTscx6LONcYrrP8jbSpUuXgs91wAEHuPob3/iGq9Ox5G2TlzPNUQPArbfe6mrOPFYjvhYiKxfMmeR0LLn/L/c95mwvP3e6vvmx3Jt44MCBruZe45xNTbdffl0e1yVLlrj6tttuc3Ut7K98POMevp06dXI1r4N0ffF7ZFavcF6/6TVF/Fx8jcrFF1/sah7H9FoPxss1Z84cVz/88MOu5nsHlOP6LX1yLCIiIiIS6eRYRERERCTSybGIiIiISFS2zPHo0aNdPWHCBFdzJvTRRx919eWXX56fnj59uptXyjzYd77zHVdzFpX733LGNvXqq6+6+he/+EUzl67yOIPE+VrOpnEvUu5ZmeIx5ywk56G4X2uaU+Jc249//GNXDx061NXcs5fzVOnvwfkmXk7uicrroFZx3pbXMa/DNNvL+zfX3D+4EB4b3g64Tyr3zOTlTvuNc86V+xbfc889ruZ9vBZ6WHOWfOPGja7mDCNnHtPrKjgnzOPIPVf5OoI0d8jZcM4wDh8+vMnlABqOXfraa9eudfNmzpzp6vvuu8/Vr732mqvfeecdVDvutz5q1ChX8/GT1196bOZrMngb4GtHeJ9Lc67dunVz84488khXc/aU9+dC2xhnhrnH/EMPPeRqHvdqPDbzeyz3Uj/22GNdzccc3g/SvtDc55l/f+7/zXnxdGz4Pg2nnHKKq/naDh5Xlo4l95+++eabXc3H5ZbYP+Z6Rx8AAAc+SURBVPXJsYiIiIhIpJNjEREREZFIJ8ciIiIiIlHZMscTJ0509eDBg139rW99y9WcYZo0aVJ+mvvhcq6tOTjnVihT3Jg77rgjPz127Fg3j/M+tYhza5w5njdvnqs5J3jooYe6Ou1Vyj1me/bs6WrOvXGWLe3/2LlzZzePs+KcpcqS5jIvu+wyN+/+++93dS3kTrcFZ4w5B5Zm2YCGGbNDDjkkP71ixQo3j/PJnBnjvrTpOuVx79OnT5OvCwD9+vVzNWeQ06w6X7/APaz/8Ic/uJrz57XQw5rzejyunA0cMmSIq08++eT8NB/TuIcy55fTfuGAzyBz5rhHjx4Nlj21fv16V69atcrVy5cvz09zHpdznNwPl3PYxfZcr4QFCxa4msd15MiRri50XQbvn9wTmXP/hfrncn6Z9xHO2PKxmd9j0n2UM/933nmnq7k/Lo9jOfutby9eJr6GhXurn3baaa7mY2n6HszjyPt6//79Xc3rKx0b3j/5+M/5ZR53vvYh/T1//vOfu3kvv/yyq7kPd1a/5lLQJ8ciIiIiIpFOjkVEREREIiv0cbSZleyzav7am2/DfN5555XqpUqKb2N97bXXuvrGG2/MT1eyTUwIwbIflVPMuPJXYBx14NhE2oIPaPh1XXp7Xm5Bw1+z8lcn/NV7uu3y17t8G2Dezvm5+WucCy+8MD/N7YDKcavKphQzrkDz9lkeD27dM2bMGFcPGjTI1enXvHx7Xv66k9s1cUvANN7UvXt3N49vN5t1+2j+yjyNjzz11FNu3pQpU1zNX/HyV4PNiVWUa59lHEs54ogjXH3RRRe5msc13Zf49+fjA3+1yvts+ng+XnI8iY+98+fPd/VLL73k6rlz5zb5s3xLd97eWHNiFS01rnwrb75d77hx41zNEcJ0XPnrdo4XZt2aOj2+8vGR1zV/RT5jxgxXc6wgjYtwrIJbCfK+Xsqv31tqXPn4xce7c88919UHH3ywq9PYKY8FR9I4BsXbfRoj4/dyHkfeJnh/njVrlqtvuOGG/HRWi9hyxmGaGld9ciwiIiIiEunkWEREREQk0smxiIiIiEjUYpljxq1gzjjjDFenWdbjjz/ezRswYEBRr5W2lbr77rvdPG6Hw61hOGPHt6+sFi2Vh+IsL2fJObvG7YTSXBy39+Pn4kxT2roN8NsQZ+SWLl3q6jSPCAC///3vXc1ZtjS3Vcn2Py2ZOeZMWe/evV09YsQIV3M7xrR9HrcP4+wb14WygR06dCi4nNzqkbcTbjf44osv5qefeeYZN4+3G87FlnJbaKl9lvP4fCtvvm7gqKOOcnV6+1puzZaV7ec6bcfGOeDZs2e7mrOnvI/y8SHNn2a1V8xazuZoqXHl91AeZ84Y8/vosGHDmnyuoUOHFnwtlu7vnB/lceV9jm/dzT+fvudmXTtSztaKlRpXbnXHLdT4fOj000/PT3Mrt7SVKgBs2LDB1dzKMh07bqHL7Tr5tXj/5jaYaQu6anyP1SfHIiIiIiKRTo5FRERERCKdHIuIiIiIRBXLHBeDe6Jy78wsaW6Qb7VYL1oqD1Wo1zBQXA6OM0qcheTcIOej0kxTVm/NrKxaNd5WFGjZzHHW2HGPTL79d3rdAN+WdO3ata7mHDHn2dJ9nnP+nF17/fXXXb1p0yZX8+2+Fy5cmJ/m40FL3m62pfZZxhlG3u+4f256HQH3lM7C12yk48yZRe5Zy+uex6Zab91dqXHl/DfXPHbpPshjzj3POefPx+Z07PjW3PxYruvxWFzOceX3YD4/6tu3b36a88j8vsjHXb4+Iz134uMwP1fWOJYz598cyhyLiIiIiGTQybGIiIiISKSTYxERERGRqCYyx5KtpfJQfP90zj9xX9hCP19sBqlaMkotqSUzx4yzbpxV5Zxi2ud4v/32c/O4N2e3bt1czbm5NDe8aNEiNy+r3yY/nvsgp9toJfOOlcowctafc8GFsqu8f/PxgLP/hfbxet2fKzWuWfhYndY8rnz9AY8VPz7djzSupX2PZVkZ5DQfzv3/N27c6Oqs/XVb59UyZY5FRERERDLo5FhEREREJNLJsYiIiIhIpMxxnaiWnBvnpbiu1t6k1aqSmePm4D7G3Es3q9du2jeV+2tu2bLF1Zx/rNZ+mqxa9tlteO38dLWuy2pSK+OaZlc5x8r7VNa1JK1BtfQ55vfQQveByDpWijLHIiIiIiKZdHIsIiIiIhLp5FhEREREJFLmuE7USs5NilOrmWPJpn22Pmlc61O1jitnktMMMveEl4aUORYRERERyaCTYxERERGRqE32Q0RERESk2nB7NkUpSkOfHIuIiIiIRDo5FhERERGJdHIsIiIiIhLp5FhEREREJNLJsYiIiIhIpJNjEREREZFIJ8ciIiIiIlHB20eLiIiIiLQm+uRYRERERCTSybGIiIiISKSTYxERERGRSCfHIiIiIiKRTo5FRERERCKdHIuIiIiIRP8f0x5/VuDJvksAAAAASUVORK5CYII=\n",
            "text/plain": [
              "<Figure size 720x288 with 6 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "OXVlbYToJH3E"
      },
      "source": [
        ""
      ],
      "execution_count": null,
      "outputs": []
    }
  ]
}